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Price Ceilings Economics 101 – Section 5 Governments sometimes intervene in markets, in response to dissatisfaction from some groups in society, by instituting price ceilings or price floors. This intervention can have unintended— unintended— and sometimes harmful— harmful—consequences. Lecture 8 February 10 Government Intervention Price Elasticity of demand Figure 1 Price Ceilings in the Market for Maple Syrup Price ceilings When quantity demanded and quantity supplied are different the shorter side of the market will prevail Price per Bottle T $4.00 That is, which is smaller of quantity supplied and quantity demanded E 3.00 A price ceiling creates a shortage and increases the time and trouble required to buy the good S R 2.00 D While the price decreases the opportunity cost may rise 4,000 5,000 6,000 • Possible emergence of a black market Price floors Price floor Is a government imposed minimum price in a market Example of loan rates in US agriculture • Prices are usually set above the equilibrium and this causes excess supply • To maintain the price floor the government must prevent the excess supply from driving down the market price • To deal with the excess, the government often purchases the excess supply. V Number of Bottles of Maple Syrup Price floors and ceilings Note: A price floor below the market equilibrium would have no impact on the market A price ceiling above the market price would have no impact on the market • Remember to draw the effective price floor above the equilibrium price and an effective price ceiling below the equilibrium price 1 Taxes (excise tax) Taxes (excise tax) Excise tax – is a tax on a specific good or service • If government imposes a tax of $100 then this will cause a shift in the supply curve to shift up by $100 • The key here is on a specific good • Examples include cigarettes, alcohol, airline tickets, gasoline Example – Airline tickets Note that these taxes do not change with the price of good • i.e. the tax for cigarettes does not depend on how much you paid in the store (do not confuse this with sales tax) Figure 4 The Market for International Air Travel Elasticity Price per Ticket S´ $800 B 730 700 A D 10 11.3 Tickets (Millions per Year) Elasticity Price elasticity of demand measures the sensitivity of quantity demanded to a change in price. The greater the absolute value of this number, the more sensitive quantity demanded is to price. Demand can be classified as inelastic, unitary elastic, or elastic. Elasticity • Elasticity measures the sensitivity of one variable to a change in some other variable. • Slope is not a desirable measure of sensitivity because slope does not take into account the relative size of the changes occurring. • Elasticity is a better measure of sensitivity because it does take the relative size of the changes into account. S A special case of inelastic demand is perfectly inelastic demand, shown by a vertical demand curve. A horizontal demand curve shows perfectly elastic demand— demand—a special case of elastic demand. Elasticity The price elasticity of demand (ED) for a good is the percentage change in quantity demanded divided by the percentage change in price ED = %∆Q D %∆P 2 Elasticity Elasticity Calculating the elasticity %∆Q D = % ∆P D = Calculating the elasticity ( Q1 − Q0 ) ⎛ Q1 + Q0 ⎞ ⎜ ⎟ ⎝ 2 ⎠ ( Q1 − Q0 ) ( Q1 − Q0 ) ⎛ Q1 + Q0 ⎞ 1 ⎜ ⎟ ( Q + Q0 ) ( Q1 − Q0 ) ( P1 + P0 ) ⎝ 2 ⎠ 2 1 ED = = = x ( P1 − P0 ) ( P1 − P0 ) ( Q1 + Q0 ) ( P1 − P0 ) 1 ⎛ P1 + P0 ⎞ ( P1 + P0 ) ⎜ ⎟ 2 ⎝ 2 ⎠ ( P1 − P0 ) ⎛ P1 + P0 ⎞ ⎜ ⎟ ⎝ 2 ⎠ Figure 5 Calculating Price Elasticity of Demand % ∆ QD Movement Along Demand Curve Point Ato Point B Point Cto Point D %∆ P (500,000 – 600,000)/650,000 Elasticity Elasticity of Demand ($1,500 – $1,000)/$1,250 – 18.2%/40% = – 0.182 or – 18.2% = 0.40 or 40% = – 0.46 (100,000 – 200,000)/150,000 ($3,500 – $3,000)/$3,250 – 66.7%/15.4% = – 0.66 7 or – 66.7% = 0.154 or 15.4% = – 4.33 A straight line demand curve can be used to show that elasticity changes as we move along a demand curve. Price per Laptop $3,500 3,000 D C 2,500 2,000 When demand is price inelastic, total expenditure moves in the same direction as price. B 1,500 A 1,000 D 100,000 200,000 300,000 400,000 500,000 600,000 Figure 7 Extreme Cases of Demand Since equal dollar increases (vertical arrows) are smaller and smaller percentage increases . . . 3 2 When demand is price elastic, total spending moves in the opposite direction as price. When demand is unitary elastic, total expenditure remains the same as price changes. Quantity of Laptops Figure 6 Elasticity and Straight-Line Demand Curves Price This happens because elasticity is generally not a characteristic of a demand curve, but rather is a measure of price sensitivity for a particular price change along that curve. (a) . . . and since equal quantity decreases (horizontal arrows) are larger and larger percentage decreases . . . D $4 $4 3 Perfectly Inelastic Demand 1 . . . demand becomes more and more elastic as we move leftward and upward along a straight line demand curve. D (b) Price per Unit Price per Unit 2 2 1 1 20 40 60 80 100 Perfectly Elastic Demand 3 D 20 Quantity 40 60 80 100 Quantity Quantity 3 Table 1 Effects of Price Changes on Expenditure Where demand is: A price increase will: A price decrease will: Inelastic ( | | < 1) | = 1) unitary elastic ( | increase expenditure cause no change in expenditure decrease expenditure decrease expenditure cause no change in expenditure increase expenditure elastic ( | | > 1) 4